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Finding the Fourth Proportional to 2,835.62, 4,251.87 and 1,055.78

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Solution

The fourth proportional to 2,835.62, 4,251.87 and 1,055.78 is: 1,583.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,835.62 : 4,251.87 = 1,055.78 : x
  2. Step 2: Convert to fraction form
    2,835.62/4,251.87 = 1,055.78/x
  3. Step 3: Cross multiply
    2,835.62x = 4,251.87 × 1,055.78
  4. Step 4: Simplify right side
    2,835.62x = 4,489,039.31
  5. Step 5: Solve for x
    x = 4,489,039.31/2,835.62
  6. Step 6: Final answer
    x = 1,583.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.